600 gallon brine tank is to be cleared by piping in pure water at 1 gal/min. , and allowing the well-stirred solution to flow out at the rate of 2 gal/min. If the tank initially contains 1500 pounds of salt, how much salt is left in the tank after 1 hour?

Q: A bathroom tub will fill in 15 minutes with both faucets open and the stopper in place. With both…

A: To Determine: How long will it take for the tub to fill if both faucets are open and the stopper is…

Q: How many liters of each 20% (v/v) alcohol and 80% (v/v) alcohol must be mixed to yield 20 liters of…

A: We are given two percentages of alcohol that are 20% and 80%. We have to produce 20 liters of 50%…

Q: A 15-quart cooling system is checked and found to be filled with a solution that is 40% antifreeze.…

A: SOLUTION-

Q: A red truck moving 100 km/h overtakes a 1.5 km long train moving in the same direction on a track…

A:

Q: A fuel storage tank is eqipped with a pump which can empty it in 15 hours.A large auxillary…

A: Let they together will take x hours  So the equipped pump will work x hours and the auxiliary pump…

Q: A cross-country runner jogs at a rate of 15 feet per second. If she runs 300 feet from A to B, 450…

A: Speed of the runner is 15 feet per second. Total distance travelled is, Distance from A to…

Q: From an initial population of 2500 , the number of Encantados living in the kingdom of Lireo rose to…

A:

Q: The current in a typical Mississippi River shipping route flows at a rate of 4 mph. In order for a…

A: Let the speed of barge in still water be x miles per hour. Given the speed of river is 4 miles per…

Q: A tank with a capacity of 5000 kg of water is initially half full. Twenty kilogram per minute is…

A: Given that the capacity of the tank is 5000 kg. Let Q be the quantity of water in the tank after t…

Q: How many litres of water will have to be added to 1125 litres of the 45% solution of acid so that…

A:

Q: A 600 gallon brine tank is to be cleared by piping in pure water at 1 gal/min. , and allowing the…

A: Let S be pounds of salt in tank at time t, so: or Rewritting the equation above we get:…

Q: It takes an ant farm 3 days to consume of an apple. At that rate, in how many days will the ant farm…

A: An ant farm takes 3 days to consume ½ of an apple. → An ant farm consume ½ of an apple in 3 days

Q: A 400-gal tank initially contains 100 gal of brine containing 50 lb of salt. Brine containing 1 lb…

A: Schematic diagram of the given situation:…

Q: A tank initially holds 80 gallons of brine solution containing 1/8 Lb of salt per gallon. At t = 0,…

A:

Q: a 400 gal tank initially contains 100 gal of brine containing 25 lb of salt. Brine containing 2 lb…

A: A real-life scenario can be described mathematically through a differential equation. By solving the…

Q: airplane flying to the Dominican Republic has an altitude of 31,000 feet and is ascending at a…

A:

Q: A car traveling at 45 miles per hour is brought to a stop, at constant deceleration, 132 feet from…

A: Given: A car traveling at 45 miles per hour.

Q: Two cars, one going east with the speed of 45 mph while the second car heading south at 70 mph, are…

A:

Q: If a machine that works at a constant rate can fill 40 bottles of milk in 3 minutes, how many…

A:

Q: From an initial population of 2500 , the number of Encantados living in the kingdom of Lireo rose to…

A: Given, Initial population,P0= 2500Final population, P = 62,571Number of years, n =46Birth Rate =…

Q: The standard u.s A evaporation land on inside diameter of 47.5 inches and depth of 10.0 inch, if…

A: given that inside diameter is 47.5 inches radius,   R=47.52=23.75 inches  depth is H=10.0 inches…

Q: A motor vehicle has a maximum efficiency of 32 mpg at a cruising speed of 40 mph. The efficiency…

A:

Q: A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 2 grams…

A: A tank contains 200 liters of fluid with 30 gm salt is dissolved.2 gm of salt per liter is pumped…

Q: A certain drug breaks down in the body at a rate of 18% per hour. If an initial dosage is 500…

A:

Q: A commercial cherry grower estimates from past records that if 15 trees are planted per acre, then…

A: Let, x additional trees have to be planted.  So the total number of trees= (15+x) New average yield=…

Q: a one cup serving of fat free skim milk contains 8 fluid ounces, that one cup of milk also provides…

A: As it is mentioned in the question that the milk is fat free skim milk So the content of fat is…

Q: Mervin and Leela are in bumper cars. They are at opposite ends of a 100-meter track heading toward…

A:

Q: The population of a certain bacteria culture was 40,876 after 18 hours had elapsed. After another 20…

A: Given that, The population of a certain bacteria culture was 40,876 after 18 hours had elapsed.…

Q: A man rows up a stream 4 ½ hours and finds that it requires only 2 ½ hours down the stream. If he…

A: To find: The rate of current. Given: A person rows up a stream 412 hours and 212 hours to down the…

Q: A small metal bar with initial temperature was 20°C, is dropped into a large container of water with…

A: Here we create a differential equation based on given information. Then solve that equation.

Q: Two cyclists, 90 mi apart, start riding toward each other at the same time. One cycles twice as fast…

A: Given that, the distance between two cyclists is 90 mi, and one cycles twice as fast as the other…

Q: 10 liters per​ minute, how long will it take to fill the 3,400​-gallon ​pool?

A:

Q: A 300 gallon tank initially contains 90 gallons of brine containing 400 Ibs. of salt. Brine…

A: Given the tank contains 90 gallons of brine containing 400 lbs of salt.  The above figure shows the…

Q: A 100-gallon tank contains 5O gallons of water. Brine, containing 2 Ibs of salt per gallon, flows…

A: Ans =38

Q: Two cyclists, 48 mi apart, start riding towards each other at the same time. One cycles twice as…

A: Given that two cyclists is 48mi apart riding towards each other at the same time and one cycle is…

Q: A cup of coffee cools at rate proportional to the difference between the constant room temperature…

A:

Q: A 6-quart cooling system is checked and found to be filled with a solution that is 40% antifreeze.…

A: Given that      A 6-quart cooling system is checked and found to be filled with a solution that is…

Q: A 21-quart cooling system is checked and found to be filled with a solution that is 40% antifreeze.…

A: Given: A 21-quart cooling system is checked and found to be filled with a solution that is 40%…

Q: A dead fish was found inside a compartment that is able to maintain a constant temperature of 373…

A: let D be the body temperature at t seconds according to question, initially , at time t=0D=900…

Q: A 400-gal tank initially contains 100 gal of brine containing 75 lb of salt. Brine containing 2 Ib…

A: The solution of above question is written below.

Q: A 120-gallon tank initially contains 80 lbs. of salt dissolve in 90 gal of water. Brinemcontaining…

A: Let xt be the amount of salt in tank at time t.  The amount of salt in is given by salt in=10 The…

Q: A certain type of bacteria is known to grow at the rate proportional to the amount that is present.…

A:

Q: Two resistors are wired in parallel, one of which is 100 ohms. If the total resistance is supposed…

A: The value of the second resistor needs to be 400 ohms.

Q: A 400-gallon tank initially contains 100 gallons of brine containing 50 pounds of salt. Brine…

A: Formulate a differential equation as follows. Let A(t) be the rate of change of amount of salt in…

Q: In a room containing of air 20,000 m3 of air, 600 m3 of fresh air flows in per minute, and the…

A:

Q: The population of a certain bacteria culture was 49,271 after 15 hours had elapsed. After another 22…

A: Given that the population of a certain bacteria culture was 49,271 after 15 hours had elapsed.After…

Q: A 50-gallon tank initially contains 10 gallons of fresh water. At t= 0, a brine solution containing…

A: We will find out the required time.